P, Q are the mid-points of the non-parallel sides BC and AD of a trapezium ABCD·Show that `DeltaAPD =DeltaCQB`

P,Q are the mid-points of the non-parallel sides BC and AD of a trapezium ABCDShow that Delta APD=Delta CQB

E and F are respectively the midpoints of the non-parallel sides AD and BC of a trapezium ABCD. Prove that (i) EF||AB, (ii) EF=(1)/(2) (AB+CD).

ABCD is a trapezium with parallel sides AB = 2 cm and DC = 3 cm. E and F are the mid-points of the non-parallel sides. The ratia of area of ABFE to area of EFCD is:

If the non-parallel sides of a trapezium are equal,prove that it is cyclic.

If the non parallel sides of a trapezium are equal. Prove that it is cyclic.

If two non-parallel sides of a trapezium are equal; it is cyclic.

If two non-parallel sides of a trapezium are equal; it is cyclic.

ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.